Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501On ergodic shadowing and specification properties of nonautonomous discrete dynamical systems110276910.22103/jmmrc.2021.15567.1114ENZahraShabani SiahkaldeDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Sistan and ;Baluchestan, Zahedan, Iran.Seyyed AlirezaAhmadiDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Sistan and ;Baluchestan, Zahedan, Iran.Journal Article20200309We show that a nonautonomous discrete-time dynamical system (NDS) with the ergodic shadowing property is chain mixing. As a result, it is obtained that a $ k $-periodic NDS with the ergodic shadowing property has the shadowing property. In particular, any $ k $-periodic NDS on intervals having the ergodic shadowing is Devaney chaotic. Additionally, we prove that for an equicontinuous NDS with the shadowing property, the notions of topologically mixing, pseudo-orbital specification, weak specification property, and ergodic shadowing property are equivalent.https://jmmrc.uk.ac.ir/article_2769_7ec275e37537af4d768b364208ed9480.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501SOME GENERALIZED RESULTS BASED ON DIFFERENTIAL SUBORDINATIONS OF ANALYTIC FUNCTIONS1325278610.22103/jmmrc.2021.16816.1126ENHosseinRahimpoorDEPARTMENT OF MATHEMATICS, PAYAME NOOR UNIVERSITY, TEHRAN, IRANParvizArjomandiniaDEPARTMENT OF MATHEMATICS, PAYAME NOOR UNIVERSITY, TEHRAN, IRANJournal Article20201123For the function f(z) analytic in the open unit disk and normalized by f(0) = f0(0)−1 = 0, we consider the expression; ( zf0(z)f(z)−1)+1−( zf(z) );( > 0). Using differential subordination notion, we investigate properties of ( f(z) z ), as well as, sufficient conditions for univalence and starlikeness of f(z). In the special case, for = 1, these results generalize and improve some previously results given in the literature.https://jmmrc.uk.ac.ir/article_2786_698a7afc420ec84c4cd55a1dafe720aa.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501On Product Stable Quotient Order-homomorphisms2736278710.22103/jmmrc.2021.14803.1103ENGhasemMirhosseinkhaniDepartment of mathematices, sirjan university of technology0000-0003-0928-9608NargesNazari1Department of Mathematics, University of Hormozgan, Bandarabbas, Iran000-0002-1568-2513Journal Article20191005In this paper, we study the properties of some classes of quotient<br />order-homomorphisms, as product stable in the category of topological fuzzes.<br />We dene the concept of a bi-quotient order-homomorphism and show that for<br />Hausdorff topological fuzzes, a quotient order-homomorphism f : L1 ! L2 is<br />product stable if and only if f is bi-quotient and L2 is a core compact topological<br />fuzz.https://jmmrc.uk.ac.ir/article_2787_512d140fd23a7ff4d9e43a453b32a995.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501Finding Fuzzy Inverse Matrix Using Wu’s Method3752286510.22103/jmmrc.2021.16716.1127ENHamedFarahaniDepartment of mathematics, Chabahar maritime university. Chabahar, IranMohammad JavadEbadiDepartment of Mathematics, Chabahar Maritime University, Chabahar, Iran0000-0002-1324-6953Journal Article20201124In this study, the concept of an inverse matrix including fuzzy number elements is extended. Such a concept may be performed in the modeling of uncertain and imprecise real-world problems.<br /> The problem of finding a fuzzy inverse matrix is converted to a problem to solve a system of fuzzy polynomial equations. Here, a fuzzy system is transformed to an equivalent system of crisp polynomial equations. The solution of the system of crisp polynomial equations is calculated using Wu’s method and is introduced a criterion for invertibility of a fuzzy matrix (FM). In addition, an algorithm is proposed to calculate the fuzzy inverse matrix. The most important advantage of the presented method is that it achieves whole inverse entries of an FM, simultaneously. In the end, we give some illustrative examples to show the efficiency and proficiency of our proposed algorithm.https://jmmrc.uk.ac.ir/article_2865_1fc83a5f03fa23ca83903921ce9aec46.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501Some Results of Frames in Krein Spaces5368289410.22103/jmmrc.2021.17086.1131ENAzadehAlijaniDepartment of Mathematic, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran0000-0001-7851-8684MansourehMahmodiDepartment of Mathematic, Vali-e-Asr University of Rafsanjan, Rafsanjan, IranJournal Article20210122In recently years, frames in Krein spaces had been considered. The paper presents a family of generators for a Krein space by their frames. These generators are dual frames and operator dual frames corresponding to a given frame in a Krein space. We characterize all generalized dual frames of a primary frame. Also, approximately dual frames in a Krein space are introduced and, we study the relation between approximately dual frames and operator duals in a Krein space. Finally, perturbation of frames in this space is considered.https://jmmrc.uk.ac.ir/article_2894_2388078b787ad0d8adc93acb1b88ea9d.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501Proper Lk-biharmonic Hypersurfaces in The Euclidean Sphere with Two Principal Curvatures6978289510.22103/jmmrc.2021.15736.1116ENMehranAminianDept. of Math, Rafsanjan University of Vali-e-Asr, Iran0000-0003-4768-3884MehranNamjooDept. of Math, Rafsanjan University of Vali-e-Asr, Iran0000-0001-5949-6766Journal Article20200414In this paper we classify proper $L_k$-biharmonic hypersurfaces $ M $, in the unit Euclidean sphere which has two principal curvatures and we show that they are open pieces of standard products of spheres. Also we study proper $L_k$-biharmonic compact hypersurfaces $ M $ with respect to $tr(S^2\circ P_k)$ and $ H_k $ where $ S $ is the shape operator, $ P_k $ is the Newton transformation and $ H_k $ is the $ k $-th mean curvature of $ M $, and by definiteness's assumption of $ P_k $, we show that $ H_{k+1} $ is constant.https://jmmrc.uk.ac.ir/article_2895_2e22507b06578ffe35eed4537696faec.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501Existence and stability of solutions for a nonlinear fractional Volterra-Fredholm integro-differential equation in Banach spaces7993289610.22103/jmmrc.2021.17079.1130ENAhmed AHamoudTaiz University0000-0002-8877-7337Abdulrahman A.SharifDepartment of MathematicsHodeidah UniversityAl-Hudaydah, Yemen.KirtiwantGhadleDr. Babasaheb Ambedkar Marathwada University0000-0003-3205-5498Journal Article20210119This paper investigates the existence and interval of existence, uniqueness and Ulam stability of solutions on initial value type problem of a nonlinear Caputo fractional Volterra-Fredholm integro-differential equation in Banach spaces.https://jmmrc.uk.ac.ir/article_2896_2a47bc66ec2ee74e18eeed4fdeaba575.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501A NOTE ON SOME DISTANCE FORMULAE IN 3-DIMENSIONAL MAXIMUM SPACE95102289710.22103/jmmrc.2021.14859.1104ENZeynepCanMathematics, Science and Letters, Aksaray University, Aksaray, TURKEY0000-0003-2656-5555ZeynepColakEconometry, Faculty of Economics and Administrative Sciences, University of Çanakkale On Sekiz Mart, Çanakkale, TURKEYKadirYıldırımMathematics, Science and Letters, Aksaray University, Aksaray, TURKEYOzcanGelişgenDeparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY0000-0001-7071-6758Journal Article20191015In this paper, we give some distance formulas for 3-dimensional maximum space. We study in 3-dimensional analytical space furnishing with maximum metric, and in this space we give distance formulas between a point and a line, a point and a plane and between two lines in terms of maximum metric.https://jmmrc.uk.ac.ir/article_2897_84647783a6b78b03ddd2fb9818d83511.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501RELATIONS BETWEEN TWO CLASSES OF FUNCTIONS103110289810.22103/jmmrc.2021.14614.1100ENJavadFathi MourjaniDepartment of Mathematics, University of hormozgan, Bandarabbas, IranJournal Article20190825Let F denote a specific space of the class of was costructed by H. Khodabakhshian<br /> as a classes of separable Banach function spaces analogous to the james function spaces. In this<br /> notes we prove that l_p(α) is isomorphic to a complemented subspace of F_{α,p} and for p = 2, F_{α,p} is a closed subspace of the Waterman-Shiba space αBV^ (p)<br /> Assume F denotes a specific space of the class of F_{α,p} that was costructed by H.<br /> Khodabakhshian[2] as a classes of separable Banach function spaces analogous to the James<br /> function spaces. In this notes we prove that l_p(α) is isomorphic to a complemented subspace of<br /> F_{α,p} and for p = 2, F_{α,p} is a closed subspace of Waterman-Shiba space αBV^(p).https://jmmrc.uk.ac.ir/article_2898_15b1dc06ab3b9894b5907d89048d7188.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501The convexity of Chebyshev sets in normed spaces111117289910.22103/jmmrc.2021.14355.1097ENH.MazaheriYazd University0000-0001-8169-8655Mohammad JafarSalehiPayame Noore ShirazJournal Article20190707In this paper, we consider “Nearest points” and “Farthest points” in inner<br /> product spaces and Hilbert spaces. The convexity of Chebyshev sets in Hilbert<br /> spacse is an open problem. In this paper we define sun sets and sunrise sets in<br /> normed spaces.https://jmmrc.uk.ac.ir/article_2899_a49ce65fa4328c1be1bc06e08f18bcf1.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501ON TOPOLOGICAL ENTROPY WITH THE LEVELS (a; b) OF ab-RELATIVES DYNAMICAL SYSTEMS119129290010.22103/jmmrc.2021.14762.1102ENZahraEslami GiskiIslamic Azad University, Sirjan Branch.0000-0001-9266-9235ABOLFAZLEBRAHIMZADEHIslamic Azad University, Zahedan BranchJournal Article20190924ABSTRAct. In this paper, a relative intuitionistic dynamical system with the levels (α, β), as a mathematical model compatible with a natural phenome- non, is proposed. In addition, the notion of RI topological entropy with the levels (α, β) for RI dynamical systems with the levels (α, β) is defined and its properties are studied. As a significant result, it was shown that, this topolog- ical entropy is an invariant object up to conjugate relation.https://jmmrc.uk.ac.ir/article_2900_01faa78e276652ea49f86337da9fb08c.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210120210501On the GTSOR-like Method for the Augmented systems131140291610.22103/jmmrc.2021.16445.1121ENHamidehNasabzadehDepartment of Mathematics, Faculty of Basic Sciences, University of Bojnord, P. O. Box
9453155111 Bojnord, Iran;Journal Article20200910In this paper, by using SOR-Like method that introduced by Golub, Wu and Yuan and generalized Taylor expansion method for solving linear systems [F.Toutounian, H. Nasabzadeh, A new method based on the<br /> generalized Taylor expansion for computing a series solution of linear systems,<br /> Appl. Math. Comput. 248 (2014) 602-609], the GTSOR-Like method is proposed for augmented systems. The convergence analysis and the choice of the<br /> parameters of the new method are discussed. While there is no guarantee the<br /> SOR-Like method converges for the negative parameter, ω additional parameters of the new method can be adjusted for the corresponding GTSOR-Like<br /> method to converge. Finally, numerical examples are given to show that the<br /> new method is much more efficient than the SOR-Like method.https://jmmrc.uk.ac.ir/article_2916_f20ffa75964055659632688f6c47780e.pdf